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Finding the Third Proportional to 2,678,412 and 5,780,228

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Solution

The third proportional to 2,678,412 and 5,780,228 is: 12,474,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,412 : 5,780,228 = 5,780,228 : x
  2. Step 2: Convert to fraction form
    2,678,412/5,780,228 = 5,780,228/x
  3. Step 3: Cross multiply
    2,678,412x = 5,780,228 × 5,780,228
  4. Step 4: Simplify right side
    2,678,412x = 33,411,035,731,984
  5. Step 5: Solve for x
    x = 33,411,035,731,984/2,678,412
  6. Step 6: Final answer
    x = 12,474,195.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.